Codice 56/2013 Titolo Stability analysis for Discontinuous Galerkin approximations of the elastodynamics problem Data 2013-11-15 Autore/i Antonietti, P.F.; Ayuso de Dios, B.; Mazzieri, I.; Quarteroni, A. Link Download full text Abstract We consider semi-discrete discontinuous Galerkin approximations of a general elastodynamics problem, in both displacement and displacement-stress formulations. We present the stability analysis of all the methods in the natural energy norm and derive optimal a-priori error estimates. For the displacement-stress formulation, schemes preserving the total energy of the system are introduced and discussed. We include some numerical experiments in three dimensions to verify the theory.